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Finding the Fourth Proportional to 1,784.18, 2,676.56 and 551.56

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Solution

The fourth proportional to 1,784.18, 2,676.56 and 551.56 is: 827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.18 : 2,676.56 = 551.56 : x
  2. Step 2: Convert to fraction form
    1,784.18/2,676.56 = 551.56/x
  3. Step 3: Cross multiply
    1,784.18x = 2,676.56 × 551.56
  4. Step 4: Simplify right side
    1,784.18x = 1,476,283.43
  5. Step 5: Solve for x
    x = 1,476,283.43/1,784.18
  6. Step 6: Final answer
    x = 827.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.